Solution of a linear inequality in variable x is represented on number line. Choose the correct answer from the given four options in each of the exercises.

Concept:

Number Line:

A number line is a pictorial representation of numbers on a straight line. It’s a reference for comparing and ordering numbers.

Calculation:

The above graph represents all values of x greater than or equal to \(\frac{9}{2}\) [A dark bubble at \(\frac{9}{2}\) indicates that \(\frac{9}{2}\) is included]

⇒ x ≥ \(\frac{9}{2}\)

∴ x ∈ \([\frac{9}{2},\infty)\)